Question

The number of DVDs sold at Bob's store can be modeled by

the function N (t) = 4t + 3 and the price per DVD can be
modeled by the function P(t) = =12 – 2t + 7.2, where t is
the number of years since 2002.
According to this model, what is the total amount of revenue
generated by Bob's DVD sales in the year 2010?
$
-

Answer 1

588

Explanation:

Given

`N(t)=4t+3\\\\P(t)=(2)/(5)t^2-2t+7.2`

Find

Revenue in year 8

Solution

R(t) = N(t)·P(t)

R(8) = N(8)·P(8) = (4·8 +3)(((2/5)8 -2)8 +7.2)

= (35)((3.2 -2)8 +7.2) = 35(9.6 +7.2) = 588

Bob's DVD sales generated revenue of 588 in 2010.